Explanation A focus of 33 people for ABC TV were asked to rank the government spending priorities of education ( E ) , military spending ( M ) , health care ( H ) , immigration ( I ) , and lowering taxes ( T ) . The outcomes for the preferences is as below. ( EIHTM ) ( MIEHT ) ( HMETI ) ( TMEIH ) 15 6 6 6 . In Borda count method, each voter ranks the candidates. Each last-place candidate is given 1 point, each next-to-last candidate is given 2 points, and so on. The points for each candidate are added, and the candidate who has maximum points is declared as the winner. For this election, there are 5 places E , I , H , T and M ; award 5 points for each first place ranking, 4 points for each second place ranking, 3 points for each third place ranking, 2 points for each fourth place ranking and 1 point for each last place ranking. Then, summarize the voter’s rankings in the table form as follows: Number of Priorities Voters E I H T M 15 5 4 3 2 1 6 3 4 2 1 5 6 3 1 5 2 4 6 3 2 1 5 4 Next, multiply each point of the places by its corresponding number of voters. Then, add all points of each place. The table is in the form as follows: Number of Priorities Voters E I H T M 15 75 60 45 30 15 6 18 24 12 6 30 6 18 6 30 12 24 6 18 12 6 30 24 Total 129 102 93 78 93 The priority E has maximum points

13th Edition

ISBN: 9781285697734

Author: karl J. smith

Publisher: Cengage Learning US

See similar textbooks

Concept explainers

Unitary Method

The word “unitary” comes from the word “unit”, which means a single and complete entity. In this method, we find the value of a unit product from the given number of products, and then we solve for the other number of products.

Speed, Time, and Distance

Imagine you and 3 of your friends are planning to go to the playground at 6 in the evening. Your house is one mile away from the playground and one of your friends named Jim must start at 5 pm to reach the playground by walk. The other two friends are 3 …

Profit and Loss

The amount earned or lost on the sale of one or more items is referred to as the profit or loss on that item.

Units and Measurements

Measurements and comparisons are the foundation of science and engineering. We, therefore, need rules that tell us how things are measured and compared. For these measurements and comparisons, we perform certain experiments, and we will need the experime…

Videos

Question

Chapter 17.2, Problem 35PS

To determine

The winner using Borda count method by removing health care, lowering taxes and immigration from the table and check this violates the irrelevant alternatives criterion.

Expert Solution & Answer

Chapter 17 Solutions

Nature of Mathematics

Ch. 17.1 - Prob. 1PS Ch. 17.1 - Prob. 2PS Ch. 17.1 - Prob. 3PS Ch. 17.1 - Prob. 4PS Ch. 17.1 - Prob. 5PS Ch. 17.1 - Prob. 6PS Ch. 17.1 - Prob. 7PS Ch. 17.1 - Prob. 8PS Ch. 17.1 - Prob. 9PS Ch. 17.1 - Prob. 10PS

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, subject and related others by exploring similar questions and additional content below.

The winner using Borda count method by removing health care, lowering taxes and immigration from the table and check this violates the irrelevant alternatives criterion.

Solution Summary: The author explains the Borda count method used to determine the winner by removing health care, lowering taxes, and immigration from the table.

Concept explainers

Videos

The winner using Borda count method by removing health care, lowering taxes and immigration from the table and check this violates the irrelevant alternatives criterion.

Chapter 17 Solutions